6105 (Mathematics for Science 1)
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2015–2016
MATH6105
First
Half unit (= 7.5 ECTS credits)
1
3 hour lectures and 1 hour problem class per week.
Weekly assessed coursework
90% examination, 10% coursework
A,B in A-level Mathematics
Dr D Knipl
Dr C Wray
Course Description and Objectives
The course presents the type of mathematics useful in physical sciences. It focuses on revising
and extending A-level work, aimed at those with a high pass (A or B) in A level mathematics.
Recommended Texts
While everything examinable will be given in the course notes, some students may find K.A
Stroud’s Engineering Mathematics, or any further maths (pure) A level textbook useful.
Detailed Syllabus
− Calculus, differentiation of simple functions and inverse functions. Integration by parts,
integration by substitution, partial fractions and reduction formulae. First and second
order differential equations.
− Curve sketching, stationary points, vertical and horizontal asymptotes.
− Complex numbers, complex arithmetic, De Moivre’s theorem, roots of unity and complex
roots in general.
− Series and sequences, convergence of series, the ratio and comparison test, Maclaurin
expansions.
− Introduction to matrices, matrix multiplication and addition, inverses and determinants.
September 2015 MATH6105